what is the area of a regular pentagon with an apothem 14 inches long and a side 20 inches long? round answer to the nearest tenth

Question

a. 1,400in^2
b. 700in^2
c. 175in^2
d. 140in^2

Answer 1

The formula for the area of a regular pentagon is (1/2) * apothem * perimeter.

First, we need to find the perimeter of the pentagon:
Perimeter = 5 * side = 5 * 20 = 100 inches.

Now we can calculate the area:
Area = (1/2) * 14 * 100 = 700 square inches.

So, the area of the regular pentagon is 700 square inches.

Therefore, the answer is b. 700in^2.